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Finding the Fourth Proportional to 5,560.96, 7,674.03 and 3,043

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Solution

The fourth proportional to 5,560.96, 7,674.03 and 3,043 is: 4,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560.96 : 7,674.03 = 3,043 : x
  2. Step 2: Convert to fraction form
    5,560.96/7,674.03 = 3,043/x
  3. Step 3: Cross multiply
    5,560.96x = 7,674.03 × 3,043
  4. Step 4: Simplify right side
    5,560.96x = 23,352,073.29
  5. Step 5: Solve for x
    x = 23,352,073.29/5,560.96
  6. Step 6: Final answer
    x = 4,199.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.